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arxiv: 1810.10749 · v1 · pith:J7NJZVGHnew · submitted 2018-10-25 · 🧮 math.AP

The surface diffusion flow with elasticity in three dimensions

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keywords diffusiondimensionssurfacethreeadditionalasymptoticcurvatureelastic
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We establish short-time existence of a smooth solution to the surface diffusion equation with an elastic term and without an additional curvature regularization in three space dimensions. We also prove the asymptotic stability of strictly stable stationary sets.

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